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Use the x-intercept method to find all real solutions of the equation.
x³-6x² + 3x + 10 = 0

c. x = 1, -2, or 5
a. x = 1, 2, or -5
b. x=-1, 2, or -5
d. x = -1, 2, or 5

Respuesta :

josephtainilai2

Answer:

D,x=-1,2,or 5

Step-by-step explanation:

1. Factor x³-6x² + 3x + 10 = 0

(x + 1)(x + 2)(x + 5)=0

2. Using the Zero Factor Principle : If ab=0 then a=0 or b=0

x + 1 = 0 or x - 2 = 0 or x - 5 = 0

  • Solve x + 1 = 0 : x = -1
  • Solve x - 2 = 0 : x = 2
  • Solve x - 5 = 0 : x = 5

The solutions are

x = -1 , x = 2 , x = 5

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